model_key
large_string
model
large_string
group
large_string
run_id
large_string
run_index
int64
episode_id
large_string
episode_index
int64
turn_index
int64
secret
int64
episode_resolved
bool
episode_turns_taken
int64
episode_final_candidates
int64
arm
int64
question
large_string
question_type
large_string
hint
large_string
answer
null
raw_response
large_string
completion
large_string
candidates_before
int64
candidates_after
int64
eliminated
int64
redundant
bool
zero_nonred
bool
elim_quality
float64
grounded
bool
late_narrow
bool
reasoning_presence
int64
prev_zero_nonred
bool
recover_nonzero
bool
grounded_recover
bool
recovery_quality
float64
next_zero_nonred_after_this_zero
bool
next_bad_after_this_zero
bool
turn_json
large_string
turn
int64
normalized_reward
float64
arm_match
bool
diversity
bool
resolved
bool
resolve_bonus
float64
efficiency_bonus
float64
turns_saved
int64
training_reward
float64
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
0
6
false
10
3
4
Is the sum of the first four numbers divisible by 7?
divisibility
Yes, the sum of the first four numbers is divisible by 7.
null
{"arm": 4, "question": "Is the sum of the first four numbers divisible by 7?"}
{"arm": 4, "question": "Is the sum of the first four numbers divisible by 7?"}
100
14
86
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 6, "raw_response": "{\"arm\": 4, \"question\": \"Is the sum of the first four numbers divisible by 7?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the sum of the first four numbers divisible by 7?\"}", "arm": 4, "question": "Is the sum of the first four numbers divisible by 7?", "hint": "Ye...
0
0.86
false
true
false
0
0
0
0.91
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
1
6
false
10
3
3
Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?
primality
Yes, there is at least one prime factor in the set.
null
{"arm": 3, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
{"arm": 3, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
14
14
0
false
true
0
false
false
1
false
null
null
null
false
true
{"turn": 1, "secret": 6, "raw_response": "{\"arm\": 3, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?\"}", "completion": "{\"arm\": 3, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91,...
1
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
2
6
false
10
3
3
Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?
primality
You already asked this. No new information.
null
{"arm": 3, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
{"arm": 3, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
14
14
0
true
false
0
false
false
1
true
false
false
0
null
null
{"turn": 2, "secret": 6, "raw_response": "{\"arm\": 3, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?\"}", "completion": "{\"arm\": 3, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91,...
2
-0.1
false
false
false
0
0
0
-0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
3
6
false
10
3
0
Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?
primality
Yes, there is at least one prime factor in that set.
null
{"arm": 0, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
{"arm": 0, "question": "Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?"}
14
14
0
false
true
0
false
false
1
false
null
null
null
false
false
{"turn": 3, "secret": 6, "raw_response": "{\"arm\": 0, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}?\"}", "completion": "{\"arm\": 0, \"question\": \"Is there at least one prime factor in the set {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91,...
3
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
4
6
false
10
3
4
Is the number odd or even?
parity
The number is even.
null
{"arm": 1, "question": "Is there at least one prime factor in the set \{7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98\}?"}
{"arm": 1, "question": "Is there at least one prime factor in the set \{7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98\}?"}
14
7
7
false
false
1
true
false
1
true
true
true
1
null
null
{"turn": 4, "secret": 6, "raw_response": "{\"arm\": 1, \"question\": \"Is there at least one prime factor in the set \\{7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98\\}?\"}", "completion": "{\"arm\": 1, \"question\": \"Is there at least one prime factor in the set \\{7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 8...
4
0.5
false
true
false
0
0
0
0.55
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
5
6
false
10
3
4
Is the last digit of the number even?
parity
Yes, the last digit of the number is even.
null
{"arm": 4, "question": "Is the last digit of the number even?"}
{"arm": 4, "question": "Is the last digit of the number even?"}
7
7
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 5, "secret": 6, "raw_response": "{\"arm\": 4, \"question\": \"Is the last digit of the number even?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the last digit of the number even?\"}", "arm": 4, "question": "Is the last digit of the number even?", "hint": "Yes, the last digit of the number is even.", "c...
5
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
6
6
false
10
3
3
Is the number odd or even?
parity
The number is even.
null
{"arm": 0, "question": "Is the product of all the numbers in the set \[21, 28, 35, 42, 56, 63, 70, 77, 84, 91, 98\] divisible by 7?"}
{"arm": 0, "question": "Is the product of all the numbers in the set \[21, 28, 35, 42, 56, 63, 70, 77, 84, 91, 98\] divisible by 7?"}
7
7
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 6, "secret": 6, "raw_response": "{\"arm\": 0, \"question\": \"Is the product of all the numbers in the set \\[21, 28, 35, 42, 56, 63, 70, 77, 84, 91, 98\\] divisible by 7?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the product of all the numbers in the set \\[21, 28, 35, 42, 56, 63, 70, 77, 84, 91, 98...
6
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
7
6
false
10
3
3
Is the number greater than 7?
range
No, the number is not greater than 7.
null
{"arm": 3, "question": "Is the number greater than 7?"}
{"arm": 3, "question": "Is the number greater than 7?"}
7
7
0
false
true
0
false
true
0
true
false
false
0
false
false
{"turn": 7, "secret": 6, "raw_response": "{\"arm\": 3, \"question\": \"Is the number greater than 7?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number greater than 7?\"}", "arm": 3, "question": "Is the number greater than 7?", "hint": "No, the number is not greater than 7.", "candidates_before": 7, "candid...
7
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
8
6
false
10
3
4
Is the number less than 56?
range
Yes, the number is less than 56.
null
{"arm": 4, "question": "Is the number less than 56?"}
{"arm": 4, "question": "Is the number less than 56?"}
7
3
4
false
false
1
true
true
0
true
true
true
1
null
null
{"turn": 8, "secret": 6, "raw_response": "{\"arm\": 4, \"question\": \"Is the number less than 56?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number less than 56?\"}", "arm": 4, "question": "Is the number less than 56?", "hint": "Yes, the number is less than 56.", "candidates_before": 7, "candidates_after"...
8
0.571429
false
true
false
0
0
0
0.621429
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00000
0
9
6
false
10
3
4
Is the number divisible by 11?
divisibility
No, the number is not divisible by 11.
null
{"arm": 4, "question": "Is the number divisible by 11?"}
{"arm": 4, "question": "Is the number divisible by 11?"}
3
3
0
false
true
0
false
true
0
false
null
null
null
null
null
{"turn": 9, "secret": 6, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by 11?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by 11?\"}", "arm": 4, "question": "Is the number divisible by 11?", "hint": "No, the number is not divisible by 11.", "candidates_before": 3, "ca...
9
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
0
10
false
10
20
4
Is the number divisible by both 3 and 7?
divisibility
No, the number is not divisible by both 3 and 7.
null
{"arm": 4, "question": "Is the number divisible by both 3 and 7?"}
{"arm": 4, "question": "Is the number divisible by both 3 and 7?"}
100
100
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 0, "secret": 10, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by both 3 and 7?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by both 3 and 7?\"}", "arm": 4, "question": "Is the number divisible by both 3 and 7?", "hint": "No, the number is not divisible by bo...
0
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
1
10
false
10
20
1
Is the number divisible by 7?
divisibility
No, the number is not divisible by 7.
null
{"arm": 1, "question": "Is the number divisible by 7?"}
{"arm": 1, "question": "Is the number divisible by 7?"}
100
86
14
false
false
0.28
false
false
0
true
true
false
0.28
null
null
{"turn": 1, "secret": 10, "raw_response": "{\"arm\": 1, \"question\": \"Is the number divisible by 7?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number divisible by 7?\"}", "arm": 1, "question": "Is the number divisible by 7?", "hint": "No, the number is not divisible by 7.", "candidates_before": 100, "can...
1
0.14
false
true
false
0
0
0
0.19
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
2
10
false
10
20
3
Is the number divisible by both 3 and 7?
divisibility
No, the number is not divisible by both 3 and 7.
null
{"arm": 3, "question": "Is the number divisible by both 3 and 7?"}
{"arm": 3, "question": "Is the number divisible by both 3 and 7?"}
86
86
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 2, "secret": 10, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by both 3 and 7?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by both 3 and 7?\"}", "arm": 3, "question": "Is the number divisible by both 3 and 7?", "hint": "No, the number is not divisible by bo...
2
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
3
10
false
10
20
1
Is the number greater than 60?
range
No, the number is not greater than 60.
null
{"arm": 1, "question": "Is the number greater than 60?"}
{"arm": 1, "question": "Is the number greater than 60?"}
86
52
34
false
false
0.790698
true
false
0
true
true
true
0.790698
null
null
{"turn": 3, "secret": 10, "raw_response": "{\"arm\": 1, \"question\": \"Is the number greater than 60?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number greater than 60?\"}", "arm": 1, "question": "Is the number greater than 60?", "hint": "No, the number is not greater than 60.", "candidates_before": 86, "...
3
0.395349
false
true
false
0
0
0
0.445349
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
4
10
false
10
20
3
Is the number divisible by 13?
divisibility
No, the number is not divisible by 13.
null
{"arm": 3, "question": "Is the number divisible by 13?"}
{"arm": 3, "question": "Is the number divisible by 13?"}
52
48
4
false
false
0.153846
false
false
0
false
null
null
null
null
null
{"turn": 4, "secret": 10, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 13?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 13?\"}", "arm": 3, "question": "Is the number divisible by 13?", "hint": "No, the number is not divisible by 13.", "candidates_before": 52, "...
4
0.076923
false
true
false
0
0
0
0.126923
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
5
10
false
10
20
0
Is the number even?
parity
Yes, the number is even.
null
{"arm": 0, "question": "Is the number even?"}
{"arm": 0, "question": "Is the number even?"}
48
24
24
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 5, "secret": 10, "raw_response": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "arm": 0, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 48, "candidates_after": 24, "eliminated": 24, "norma...
5
0.5
true
true
false
0
0
0
0.6
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
6
10
false
10
20
1
Is the number greater than 60?
range
You already asked this. No new information.
null
{"arm": 1, "question": "Is the number greater than 60?"}
{"arm": 1, "question": "Is the number greater than 60?"}
24
24
0
true
false
0
false
false
0
false
null
null
null
null
null
{"turn": 6, "secret": 10, "raw_response": "{\"arm\": 1, \"question\": \"Is the number greater than 60?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number greater than 60?\"}", "arm": 1, "question": "Is the number greater than 60?", "hint": "You already asked this. No new information.", "candidates_before": ...
6
-0.1
false
false
false
0
0
0
-0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
7
10
false
10
20
2
Is the number divisible by both 3 and 7?
divisibility
No, the number is not divisible by both 3 and 7.
null
{"arm": 2, "question": "Is the number divisible by both 3 and 7?"}
{"arm": 2, "question": "Is the number divisible by both 3 and 7?"}
24
24
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 7, "secret": 10, "raw_response": "{\"arm\": 2, \"question\": \"Is the number divisible by both 3 and 7?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number divisible by both 3 and 7?\"}", "arm": 2, "question": "Is the number divisible by both 3 and 7?", "hint": "No, the number is not divisible by bo...
7
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
8
10
false
10
20
1
Is the number less than 50?
range
Yes, the number is less than 50.
null
{"arm": 1, "question": "Is the number less than 50?"}
{"arm": 1, "question": "Is the number less than 50?"}
24
20
4
false
false
0.333333
false
false
0
true
true
false
0.333333
null
null
{"turn": 8, "secret": 10, "raw_response": "{\"arm\": 1, \"question\": \"Is the number less than 50?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number less than 50?\"}", "arm": 1, "question": "Is the number less than 50?", "hint": "Yes, the number is less than 50.", "candidates_before": 24, "candidates_afte...
8
0.166667
false
true
false
0
0
0
0.216667
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00001
1
9
10
false
10
20
4
Is the number greater than 60?
range
No, the number is not greater than 60.
null
{"arm": 4, "question": "Is the number greater than 60?"}
{"arm": 4, "question": "Is the number greater than 60?"}
20
20
0
false
true
0
false
false
0
false
null
null
null
null
null
{"turn": 9, "secret": 10, "raw_response": "{\"arm\": 4, \"question\": \"Is the number greater than 60?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number greater than 60?\"}", "arm": 4, "question": "Is the number greater than 60?", "hint": "No, the number is not greater than 60.", "candidates_before": 20, "...
9
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
0
12
false
10
8
0
Are there any numbers greater than 1 in this set?
range
Yes, there are numbers greater than 1 in this set.
null
{"arm": 5, "question": "Are there any numbers greater than 1 in this set?"}
{"arm": 5, "question": "Are there any numbers greater than 1 in this set?"}
100
99
1
false
false
0.02
false
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 12, "raw_response": "{\"arm\": 5, \"question\": \"Are there any numbers greater than 1 in this set?\"}", "completion": "{\"arm\": 5, \"question\": \"Are there any numbers greater than 1 in this set?\"}", "arm": 0, "question": "Are there any numbers greater than 1 in this set?", "hint": "Yes, there...
0
0.01
false
true
false
0
0
0
0.06
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
1
12
false
10
8
3
Can you find at least one number between 1 and 100 that is also divisible by 4?
divisibility
Yes, there are numbers between 1 and 100 that are divisible by 4.
null
{"arm": 3, "question": "Can you find at least one number between 1 and 100 that is also divisible by 4?"}
{"arm": 3, "question": "Can you find at least one number between 1 and 100 that is also divisible by 4?"}
99
25
74
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 1, "secret": 12, "raw_response": "{\"arm\": 3, \"question\": \"Can you find at least one number between 1 and 100 that is also divisible by 4?\"}", "completion": "{\"arm\": 3, \"question\": \"Can you find at least one number between 1 and 100 that is also divisible by 4?\"}", "arm": 3, "question": "Can you fin...
1
0.747475
false
true
false
0
0
0
0.797475
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
2
12
false
10
8
3
Can you find an odd number between 1 and 100 that is also divisible by 3?
parity
Yes, 9 is an odd number between 1 and 100 that is also divisible by 3.
null
{"arm": 3, "question": "Can you find an odd number between 1 and 100 that is also divisible by 3?"}
{"arm": 3, "question": "Can you find an odd number between 1 and 100 that is also divisible by 3?"}
25
8
17
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 2, "secret": 12, "raw_response": "{\"arm\": 3, \"question\": \"Can you find an odd number between 1 and 100 that is also divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"Can you find an odd number between 1 and 100 that is also divisible by 3?\"}", "arm": 3, "question": "Can you find an odd num...
2
0.68
false
true
false
0
0
0
0.73
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
3
12
false
10
8
3
Is this number even?
parity
Yes, the number is even.
null
{"arm": 3, "question": "Is this number even?"}
{"arm": 3, "question": "Is this number even?"}
8
8
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 3, "secret": 12, "raw_response": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "arm": 3, "question": "Is this number even?", "hint": "Yes, the number is even.", "candidates_before": 8, "candidates_after": 8, "eliminated": 0, "norma...
3
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
4
12
false
10
8
2
Is the number prime?
primality
No, the number is not prime.
null
{"arm": 2, "question": "Is the number prime?"}
{"arm": 2, "question": "Is the number prime?"}
8
8
0
false
true
0
false
false
0
true
false
false
0
true
true
{"turn": 4, "secret": 12, "raw_response": "{\"arm\": 2, \"question\": \"Is the number prime?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number prime?\"}", "arm": 2, "question": "Is the number prime?", "hint": "No, the number is not prime.", "candidates_before": 8, "candidates_after": 8, "eliminated": 0, "n...
4
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
5
12
false
10
8
2
Is the number even?
parity
Yes, the number is even.
null
{"arm": 2, "question": "Is the number even?"}
{"arm": 2, "question": "Is the number even?"}
8
8
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 5, "secret": 12, "raw_response": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "arm": 2, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 8, "candidates_after": 8, "eliminated": 0, "normaliz...
5
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
6
12
false
10
8
2
Can you find an odd number between 1 and 100 that is also divisible by 2?
parity
Please ask about a specific property like parity, divisibility, or range.
null
{"arm": 2, "question": "Can you find an odd number between 1 and 100 that is also divisible by 2?"}
{"arm": 2, "question": "Can you find an odd number between 1 and 100 that is also divisible by 2?"}
8
8
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 6, "secret": 12, "raw_response": "{\"arm\": 2, \"question\": \"Can you find an odd number between 1 and 100 that is also divisible by 2?\"}", "completion": "{\"arm\": 2, \"question\": \"Can you find an odd number between 1 and 100 that is also divisible by 2?\"}", "arm": 2, "question": "Can you find an odd num...
6
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
7
12
false
10
8
3
Can you find at least one number between 1 and 100 that is also divisible by 3?
divisibility
Yes, there are several numbers between 1 and 100 that are divisible by 3.
null
{"arm": 3, "question": "Can you find at least one number between 1 and 100 that is also divisible by 3?"}
{"arm": 3, "question": "Can you find at least one number between 1 and 100 that is also divisible by 3?"}
8
8
0
false
true
0
false
true
0
true
false
false
0
false
true
{"turn": 7, "secret": 12, "raw_response": "{\"arm\": 3, \"question\": \"Can you find at least one number between 1 and 100 that is also divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"Can you find at least one number between 1 and 100 that is also divisible by 3?\"}", "arm": 3, "question": "Can you fin...
7
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
8
12
false
10
8
3
Is this number even?
parity
You already asked this. No new information.
null
{"arm": 3, "question": "Is this number even?"}
{"arm": 3, "question": "Is this number even?"}
8
8
0
true
false
0
false
true
0
true
false
false
0
null
null
{"turn": 8, "secret": 12, "raw_response": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "arm": 3, "question": "Is this number even?", "hint": "You already asked this. No new information.", "candidates_before": 8, "candidates_after": 8, "eli...
8
-0.1
false
false
false
0
0
0
-0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00002
2
9
12
false
10
8
0
Is the number greater than 5?
range
Yes, the number is greater than 5.
null
{"arm": 0, "question": "Is the number greater than 5?"}
{"arm": 0, "question": "Is the number greater than 5?"}
8
8
0
false
true
0
false
true
0
false
null
null
null
null
null
{"turn": 9, "secret": 12, "raw_response": "{\"arm\": 0, \"question\": \"Is the number greater than 5?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number greater than 5?\"}", "arm": 0, "question": "Is the number greater than 5?", "hint": "Yes, the number is greater than 5.", "candidates_before": 8, "candidat...
9
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
0
14
false
10
15
3
Is the sum of the digits of the secret number greater than 50?
digitsum
No, the sum of the digits of the secret number is not greater than 50.
null
{"arm": 3, "question": "Is the sum of the digits of the secret number greater than 50?"}
{"arm": 3, "question": "Is the sum of the digits of the secret number greater than 50?"}
100
100
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 0, "secret": 14, "raw_response": "{\"arm\": 3, \"question\": \"Is the sum of the digits of the secret number greater than 50?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the sum of the digits of the secret number greater than 50?\"}", "arm": 3, "question": "Is the sum of the digits of the secret number...
0
0
true
true
false
0
0
0
0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
1
14
false
10
15
2
Is the number divisible by 9?
divisibility
No, the number is not divisible by 9.
null
{"arm": 2, "question": "Is the number divisible by 9?"}
{"arm": 2, "question": "Is the number divisible by 9?"}
100
89
11
false
false
0.22
false
false
0
true
true
false
0.22
null
null
{"turn": 1, "secret": 14, "raw_response": "{\"arm\": 2, \"question\": \"Is the number divisible by 9?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number divisible by 9?\"}", "arm": 2, "question": "Is the number divisible by 9?", "hint": "No, the number is not divisible by 9.", "candidates_before": 100, "can...
1
0.11
false
true
false
0
0
0
0.16
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
2
14
false
10
15
3
Is the number less than 50?
range
Yes, the number is less than 50.
null
{"arm": 3, "question": "Is the number less than 50?"}
{"arm": 3, "question": "Is the number less than 50?"}
89
44
45
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 2, "secret": 14, "raw_response": "{\"arm\": 3, \"question\": \"Is the number less than 50?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number less than 50?\"}", "arm": 3, "question": "Is the number less than 50?", "hint": "Yes, the number is less than 50.", "candidates_before": 89, "candidates_afte...
2
0.505618
false
true
false
0
0
0
0.555618
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
3
14
false
10
15
1
Is the number divisible by 9?
divisibility
No, the number is not divisible by 9.
null
{"arm": 1, "question": "Is the number divisible by 9?"}
{"arm": 1, "question": "Is the number divisible by 9?"}
44
44
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 3, "secret": 14, "raw_response": "{\"arm\": 1, \"question\": \"Is the number divisible by 9?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number divisible by 9?\"}", "arm": 1, "question": "Is the number divisible by 9?", "hint": "No, the number is not divisible by 9.", "candidates_before": 44, "cand...
3
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
4
14
false
10
15
4
Is the number less than 50?
range
Yes, the number is less than 50.
null
{"arm": 4, "question": "Is the number less than 50?"}
{"arm": 4, "question": "Is the number less than 50?"}
44
44
0
false
true
0
false
false
0
true
false
false
0
false
false
{"turn": 4, "secret": 14, "raw_response": "{\"arm\": 4, \"question\": \"Is the number less than 50?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number less than 50?\"}", "arm": 4, "question": "Is the number less than 50?", "hint": "Yes, the number is less than 50.", "candidates_before": 44, "candidates_afte...
4
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
5
14
false
10
15
1
Is the number divisible by 3?
divisibility
No, the number is not divisible by 3.
null
{"arm": 1, "question": "Is the number divisible by 3?"}
{"arm": 1, "question": "Is the number divisible by 3?"}
44
33
11
false
false
0.5
true
false
0
true
true
true
0.5
null
null
{"turn": 5, "secret": 14, "raw_response": "{\"arm\": 1, \"question\": \"Is the number divisible by 3?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number divisible by 3?\"}", "arm": 1, "question": "Is the number divisible by 3?", "hint": "No, the number is not divisible by 3.", "candidates_before": 44, "cand...
5
0.25
false
true
false
0
0
0
0.3
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
6
14
false
10
15
4
Is the last digit of the number divisible by 9?
divisibility
No, the last digit of the number is not divisible by 9.
null
{"arm": 4, "question": "Is the last digit of the number divisible by 9?"}
{"arm": 4, "question": "Is the last digit of the number divisible by 9?"}
33
33
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 6, "secret": 14, "raw_response": "{\"arm\": 4, \"question\": \"Is the last digit of the number divisible by 9?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the last digit of the number divisible by 9?\"}", "arm": 4, "question": "Is the last digit of the number divisible by 9?", "hint": "No, the last dig...
6
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
7
14
false
10
15
3
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 3, "question": "Is the number odd?"}
{"arm": 3, "question": "Is the number odd?"}
33
16
17
false
false
1
true
false
0
true
true
true
1
null
null
{"turn": 7, "secret": 14, "raw_response": "{\"arm\": 3, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number odd?\"}", "arm": 3, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 33, "candidates_after": 16, "eliminated": 17, "normal...
7
0.515152
false
true
false
0
0
0
0.565152
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
8
14
false
10
15
0
Is the number even?
parity
Yes, the number is even.
null
{"arm": 0, "question": "Is the number even?"}
{"arm": 0, "question": "Is the number even?"}
16
16
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 8, "secret": 14, "raw_response": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "arm": 0, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 16, "candidates_after": 16, "eliminated": 0, "normal...
8
0
true
true
false
0
0
0
0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00003
3
9
14
false
10
15
1
Is the number a prime number?
primality
No, the number is not a prime number.
null
{"arm": 1, "question": "Is the number a prime number?"}
{"arm": 1, "question": "Is the number a prime number?"}
16
15
1
false
false
0.125
false
false
0
true
true
false
0.125
null
null
{"turn": 9, "secret": 14, "raw_response": "{\"arm\": 1, \"question\": \"Is the number a prime number?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number a prime number?\"}", "arm": 1, "question": "Is the number a prime number?", "hint": "No, the number is not a prime number.", "candidates_before": 16, "cand...
9
0.0625
true
true
false
0
0
0
0.1625
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
0
18
false
10
6
3
is this number divisible by 3?
divisibility
Yes, the number is divisible by 3.
null
{"arm": 3, "question": "is this number divisible by 3?"}
{"arm": 3, "question": "is this number divisible by 3?"}
100
33
67
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 18, "raw_response": "{\"arm\": 3, \"question\": \"is this number divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"is this number divisible by 3?\"}", "arm": 3, "question": "is this number divisible by 3?", "hint": "Yes, the number is divisible by 3.", "candidates_before": 100, "can...
0
0.67
false
true
false
0
0
0
0.72
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
1
18
false
10
6
0
Is this number greater than or equal to 50?
range
No.
null
{"arm": 0, "question": "Is this number greater than or equal to 50?"}
{"arm": 0, "question": "Is this number greater than or equal to 50?"}
33
33
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 1, "secret": 18, "raw_response": "{\"arm\": 0, \"question\": \"Is this number greater than or equal to 50?\"}", "completion": "{\"arm\": 0, \"question\": \"Is this number greater than or equal to 50?\"}", "arm": 0, "question": "Is this number greater than or equal to 50?", "hint": "No.", "candidates_before": 3...
1
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
2
18
false
10
6
3
Is this number divisible by 4?
divisibility
Yes, the number is divisible by 4.
null
{"arm": 3, "question": "Is this number divisible by 4?"}
{"arm": 3, "question": "Is this number divisible by 4?"}
33
8
25
false
false
1
true
false
0
true
true
true
1
null
null
{"turn": 2, "secret": 18, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 4?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 4?\"}", "arm": 3, "question": "Is this number divisible by 4?", "hint": "Yes, the number is divisible by 4.", "candidates_before": 33, "cand...
2
0.757576
false
true
false
0
0
0
0.807576
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
3
18
false
10
6
2
Is the sum of the digits of the number greater than 5?
digitsum
Yes, the sum of the digits of the number is greater than 5.
null
{"arm": 2, "question": "Is the sum of the digits of the number greater than 5?"}
{"arm": 2, "question": "Is the sum of the digits of the number greater than 5?"}
8
7
1
false
false
0.25
false
false
0
false
null
null
null
null
null
{"turn": 3, "secret": 18, "raw_response": "{\"arm\": 2, \"question\": \"Is the sum of the digits of the number greater than 5?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the sum of the digits of the number greater than 5?\"}", "arm": 2, "question": "Is the sum of the digits of the number greater than 5?", "hin...
3
0.125
false
true
false
0
0
0
0.175
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
4
18
false
10
6
1
Is the number less than 10?
range
No, the number is not less than 10.
null
{"arm": 1, "question": "Is the number less than 10?"}
{"arm": 1, "question": "Is the number less than 10?"}
7
7
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 4, "secret": 18, "raw_response": "{\"arm\": 1, \"question\": \"Is the number less than 10?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number less than 10?\"}", "arm": 1, "question": "Is the number less than 10?", "hint": "No, the number is not less than 10.", "candidates_before": 7, "candidates_af...
4
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
5
18
false
10
6
4
Is the number divisible by 4?
divisibility
Yes, the number is divisible by 4.
null
{"arm": 4, "question": "Is the number divisible by 4?"}
{"arm": 4, "question": "Is the number divisible by 4?"}
7
7
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 5, "secret": 18, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by 4?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by 4?\"}", "arm": 4, "question": "Is the number divisible by 4?", "hint": "Yes, the number is divisible by 4.", "candidates_before": 7, "candidat...
5
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
6
18
false
10
6
2
Is the number even?
parity
Yes, the number is even.
null
{"arm": 2, "question": "Is the number even?"}
{"arm": 2, "question": "Is the number even?"}
7
7
0
false
true
0
false
true
0
true
false
false
0
false
false
{"turn": 6, "secret": 18, "raw_response": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "arm": 2, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 7, "candidates_after": 7, "eliminated": 0, "normaliz...
6
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
7
18
false
10
6
3
Is this number divisible by 5?
divisibility
No, the number is not divisible by 5.
null
{"arm": 3, "question": "Is this number divisible by 5?"}
{"arm": 3, "question": "Is this number divisible by 5?"}
7
6
1
false
false
0.285714
false
true
0
true
true
false
0.285714
null
null
{"turn": 7, "secret": 18, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "arm": 3, "question": "Is this number divisible by 5?", "hint": "No, the number is not divisible by 5.", "candidates_before": 7, "ca...
7
0.142857
false
true
false
0
0
0
0.192857
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
8
18
false
10
6
2
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 2, "question": "Is the number odd?"}
{"arm": 2, "question": "Is the number odd?"}
6
6
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 8, "secret": 18, "raw_response": "{\"arm\": 2, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number odd?\"}", "arm": 2, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 6, "candidates_after": 6, "eliminated": 0, "normalize...
8
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00004
4
9
18
false
10
6
3
Is the number even?
parity
Yes, the number is even.
null
{"arm": 3, "question": "Is the number even?"}
{"arm": 3, "question": "Is the number even?"}
6
6
0
false
true
0
false
true
0
true
false
false
0
null
null
{"turn": 9, "secret": 18, "raw_response": "{\"arm\": 3, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number even?\"}", "arm": 3, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 6, "candidates_after": 6, "eliminated": 0, "normaliz...
9
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
0
20
false
10
4
2
Is the number divisible by 5?
divisibility
Yes, the number is divisible by 5.
null
{"arm": 2, "question": "Is the number divisible by 5?"}
{"arm": 2, "question": "Is the number divisible by 5?"}
100
20
80
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 20, "raw_response": "{\"arm\": 2, \"question\": \"Is the number divisible by 5?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number divisible by 5?\"}", "arm": 2, "question": "Is the number divisible by 5?", "hint": "Yes, the number is divisible by 5.", "candidates_before": 100, "candid...
0
0.8
true
true
false
0
0
0
0.9
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
1
20
false
10
4
2
Is the number even?
parity
Yes, the number is even.
null
{"arm": 2, "question": "Is the number even?"}
{"arm": 2, "question": "Is the number even?"}
20
10
10
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 1, "secret": 20, "raw_response": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "arm": 2, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 20, "candidates_after": 10, "eliminated": 10, "norma...
1
0.5
false
true
false
0
0
0
0.55
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
2
20
false
10
4
0
Is the number greater than 50?
range
No, the number is not greater than 50.
null
{"arm": 0, "question": "Is the number greater than 50?"}
{"arm": 0, "question": "Is the number greater than 50?"}
10
5
5
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 2, "secret": 20, "raw_response": "{\"arm\": 0, \"question\": \"Is the number greater than 50?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number greater than 50?\"}", "arm": 0, "question": "Is the number greater than 50?", "hint": "No, the number is not greater than 50.", "candidates_before": 10, "...
2
0.5
true
true
false
0
0
0
0.6
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
3
20
false
10
4
4
Is the number less than 6?
range
No, the number is not less than 6.
null
{"arm": 4, "question": "Is the number less than 6?"}
{"arm": 4, "question": "Is the number less than 6?"}
5
5
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 3, "secret": 20, "raw_response": "{\"arm\": 4, \"question\": \"Is the number less than 6?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number less than 6?\"}", "arm": 4, "question": "Is the number less than 6?", "hint": "No, the number is not less than 6.", "candidates_before": 5, "candidates_after"...
3
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
4
20
false
10
4
2
Is the number divisible by 3?
divisibility
No, the number is not divisible by 3.
null
{"arm": 2, "question": "Is the number divisible by 3?"}
{"arm": 2, "question": "Is the number divisible by 3?"}
5
4
1
false
false
0.4
false
false
0
true
true
false
0.4
null
null
{"turn": 4, "secret": 20, "raw_response": "{\"arm\": 2, \"question\": \"Is the number divisible by 3?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number divisible by 3?\"}", "arm": 2, "question": "Is the number divisible by 3?", "hint": "No, the number is not divisible by 3.", "candidates_before": 5, "candi...
4
0.2
true
true
false
0
0
0
0.3
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
5
20
false
10
4
4
Is the number divisible by 9?
divisibility
No, the number is not divisible by 9.
null
{"arm": 4, "question": "Is the number divisible by 9?"}
{"arm": 4, "question": "Is the number divisible by 9?"}
4
4
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 5, "secret": 20, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by 9?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by 9?\"}", "arm": 4, "question": "Is the number divisible by 9?", "hint": "No, the number is not divisible by 9.", "candidates_before": 4, "candi...
5
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
6
20
false
10
4
3
Is the number even?
parity
Yes, the number is even.
null
{"arm": 3, "question": "Is the number even?"}
{"arm": 3, "question": "Is the number even?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 6, "secret": 20, "raw_response": "{\"arm\": 3, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number even?\"}", "arm": 3, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 4, "candidates_after": 4, "eliminated": 0, "normaliz...
6
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
7
20
false
10
4
4
Is the number divisible by 3?
divisibility
No, the number is not divisible by 3.
null
{"arm": 4, "question": "Is the number divisible by 3?"}
{"arm": 4, "question": "Is the number divisible by 3?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 7, "secret": 20, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by 3?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by 3?\"}", "arm": 4, "question": "Is the number divisible by 3?", "hint": "No, the number is not divisible by 3.", "candidates_before": 4, "candi...
7
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
8
20
false
10
4
3
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 3, "question": "Is the number odd?"}
{"arm": 3, "question": "Is the number odd?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 8, "secret": 20, "raw_response": "{\"arm\": 3, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number odd?\"}", "arm": 3, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 4, "candidates_after": 4, "eliminated": 0, "normalize...
8
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00005
5
9
20
false
10
4
3
Is the number divisible by 3?
divisibility
No, the number is not divisible by 3.
null
{"arm": 3, "question": "Is the number divisible by 3?"}
{"arm": 3, "question": "Is the number divisible by 3?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
null
null
{"turn": 9, "secret": 20, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 3?\"}", "arm": 3, "question": "Is the number divisible by 3?", "hint": "No, the number is not divisible by 3.", "candidates_before": 4, "candi...
9
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
0
28
false
10
29
1
Is this number even?
parity
Yes, the number is even.
null
{"arm": 1, "question": "Is this number even?"}
{"arm": 1, "question": "Is this number even?"}
100
50
50
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 28, "raw_response": "{\"arm\": 1, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 1, \"question\": \"Is this number even?\"}", "arm": 1, "question": "Is this number even?", "hint": "Yes, the number is even.", "candidates_before": 100, "candidates_after": 50, "eliminated": 50, "n...
0
0.5
false
true
false
0
0
0
0.55
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
1
28
false
10
29
1
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 1, "question": "Is the number odd?"}
{"arm": 1, "question": "Is the number odd?"}
50
50
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 1, "secret": 28, "raw_response": "{\"arm\": 1, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number odd?\"}", "arm": 1, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 50, "candidates_after": 50, "eliminated": 0, "normali...
1
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
2
28
false
10
29
3
Is this number divisible by 5?
divisibility
No, the number is not divisible by 5.
null
{"arm": 3, "question": "Is this number divisible by 5?"}
{"arm": 3, "question": "Is this number divisible by 5?"}
50
40
10
false
false
0.4
false
false
0
true
true
false
0.4
null
null
{"turn": 2, "secret": 28, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "arm": 3, "question": "Is this number divisible by 5?", "hint": "No, the number is not divisible by 5.", "candidates_before": 50, "c...
2
0.2
false
true
false
0
0
0
0.25
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
3
28
false
10
29
2
Is the number greater than 92?
range
No, the number is not greater than 92.
null
{"arm": 2, "question": "Is the number greater than 92?"}
{"arm": 2, "question": "Is the number greater than 92?"}
40
37
3
false
false
0.15
false
false
0
false
null
null
null
null
null
{"turn": 3, "secret": 28, "raw_response": "{\"arm\": 2, \"question\": \"Is the number greater than 92?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number greater than 92?\"}", "arm": 2, "question": "Is the number greater than 92?", "hint": "No, the number is not greater than 92.", "candidates_before": 40, "...
3
0.075
false
true
false
0
0
0
0.125
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
4
28
false
10
29
3
Is this number prime?
primality
No, the number is not prime.
null
{"arm": 3, "question": "Is this number prime?"}
{"arm": 3, "question": "Is this number prime?"}
37
36
1
false
false
0.054054
false
false
0
false
null
null
null
null
null
{"turn": 4, "secret": 28, "raw_response": "{\"arm\": 3, \"question\": \"Is this number prime?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number prime?\"}", "arm": 3, "question": "Is this number prime?", "hint": "No, the number is not prime.", "candidates_before": 37, "candidates_after": 36, "eliminated": ...
4
0.027027
false
true
false
0
0
0
0.077027
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
5
28
false
10
29
0
Is the number even?
parity
Yes, the number is even.
null
{"arm": 0, "question": "Is the number even?"}
{"arm": 0, "question": "Is the number even?"}
36
36
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 5, "secret": 28, "raw_response": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number even?\"}", "arm": 0, "question": "Is the number even?", "hint": "Yes, the number is even.", "candidates_before": 36, "candidates_after": 36, "eliminated": 0, "normal...
5
0
true
true
false
0
0
0
0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
6
28
false
10
29
1
Is this number less than 76?
range
Yes, the number is less than 76.
null
{"arm": 1, "question": "Is this number less than 76?"}
{"arm": 1, "question": "Is this number less than 76?"}
36
29
7
false
false
0.388889
false
false
0
true
true
false
0.388889
null
null
{"turn": 6, "secret": 28, "raw_response": "{\"arm\": 1, \"question\": \"Is this number less than 76?\"}", "completion": "{\"arm\": 1, \"question\": \"Is this number less than 76?\"}", "arm": 1, "question": "Is this number less than 76?", "hint": "Yes, the number is less than 76.", "candidates_before": 36, "candidates_a...
6
0.194444
false
true
false
0
0
0
0.244444
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
7
28
false
10
29
3
Is this number an even number?
parity
Yes, it is an even number.
null
{"arm": 3, "question": "Is this number an even number?"}
{"arm": 3, "question": "Is this number an even number?"}
29
29
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 7, "secret": 28, "raw_response": "{\"arm\": 3, \"question\": \"Is this number an even number?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number an even number?\"}", "arm": 3, "question": "Is this number an even number?", "hint": "Yes, it is an even number.", "candidates_before": 29, "candidates_a...
7
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
8
28
false
10
29
3
Is the number a multiple of 5?
divisibility
No, the number is not a multiple of 5.
null
{"arm": 3, "question": "Is the number a multiple of 5?"}
{"arm": 3, "question": "Is the number a multiple of 5?"}
29
29
0
false
true
0
false
false
0
true
false
false
0
true
true
{"turn": 8, "secret": 28, "raw_response": "{\"arm\": 3, \"question\": \"Is the number a multiple of 5?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number a multiple of 5?\"}", "arm": 3, "question": "Is the number a multiple of 5?", "hint": "No, the number is not a multiple of 5.", "candidates_before": 29, "...
8
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00006
6
9
28
false
10
29
3
Is the number an even number?
parity
Yes, the number is an even number.
null
{"arm": 3, "question": "Is the number an even number?"}
{"arm": 3, "question": "Is the number an even number?"}
29
29
0
false
true
0
false
false
0
true
false
false
0
null
null
{"turn": 9, "secret": 28, "raw_response": "{\"arm\": 3, \"question\": \"Is the number an even number?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number an even number?\"}", "arm": 3, "question": "Is the number an even number?", "hint": "Yes, the number is an even number.", "candidates_before": 29, "candida...
9
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
0
35
false
10
9
3
Is the number divisible by 3?
divisibility
No, the number is not divisible by 3.
null
{"arm": 3, "question": "Is the number divisible by 3?"}
{"arm": 3, "question": "Is the number divisible by 3?"}
100
67
33
false
false
0.66
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 35, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 3?\"}", "arm": 3, "question": "Is the number divisible by 3?", "hint": "No, the number is not divisible by 3.", "candidates_before": 100, "can...
0
0.33
false
true
false
0
0
0
0.38
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
1
35
false
10
9
0
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 0, "question": "Is the number odd?"}
{"arm": 0, "question": "Is the number odd?"}
67
34
33
false
false
0.985075
true
false
0
false
null
null
null
null
null
{"turn": 1, "secret": 35, "raw_response": "{\"arm\": 0, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number odd?\"}", "arm": 0, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 67, "candidates_after": 34, "eliminated": 33, "normal...
1
0.492537
true
true
false
0
0
0
0.592537
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
2
35
false
10
9
3
Is the number divisible by 9?
divisibility
No, the number is not divisible by 9.
null
{"arm": 3, "question": "Is the number divisible by 9?"}
{"arm": 3, "question": "Is the number divisible by 9?"}
34
34
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 2, "secret": 35, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 9?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 9?\"}", "arm": 3, "question": "Is the number divisible by 9?", "hint": "No, the number is not divisible by 9.", "candidates_before": 34, "cand...
2
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
3
35
false
10
9
0
Is the number greater than 50?
range
No, the number is not greater than 50.
null
{"arm": 0, "question": "Is the number greater than 50?"}
{"arm": 0, "question": "Is the number greater than 50?"}
34
17
17
false
false
1
true
false
0
true
true
true
1
null
null
{"turn": 3, "secret": 35, "raw_response": "{\"arm\": 0, \"question\": \"Is the number greater than 50?\"}", "completion": "{\"arm\": 0, \"question\": \"Is the number greater than 50?\"}", "arm": 0, "question": "Is the number greater than 50?", "hint": "No, the number is not greater than 50.", "candidates_before": 34, "...
3
0.5
true
true
false
0
0
0
0.6
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
4
35
false
10
9
2
Is the number even?
parity
No, the number is not even.
null
{"arm": 2, "question": "Is the number even?"}
{"arm": 2, "question": "Is the number even?"}
17
17
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 4, "secret": 35, "raw_response": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "completion": "{\"arm\": 2, \"question\": \"Is the number even?\"}", "arm": 2, "question": "Is the number even?", "hint": "No, the number is not even.", "candidates_before": 17, "candidates_after": 17, "eliminated": 0, "nor...
4
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
5
35
false
10
9
1
Is the number greater than 50?
range
No, the number is not greater than 50.
null
{"arm": 1, "question": "Is the number greater than 50?"}
{"arm": 1, "question": "Is the number greater than 50?"}
17
17
0
false
true
0
false
false
0
true
false
false
0
false
false
{"turn": 5, "secret": 35, "raw_response": "{\"arm\": 1, \"question\": \"Is the number greater than 50?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number greater than 50?\"}", "arm": 1, "question": "Is the number greater than 50?", "hint": "No, the number is not greater than 50.", "candidates_before": 17, "...
5
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
6
35
false
10
9
4
Is the number a perfect square?
square
No, the number is not a perfect square.
null
{"arm": 4, "question": "Is the number a perfect square?"}
{"arm": 4, "question": "Is the number a perfect square?"}
17
15
2
false
false
0.235294
false
false
0
true
true
false
0.235294
null
null
{"turn": 6, "secret": 35, "raw_response": "{\"arm\": 4, \"question\": \"Is the number a perfect square?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number a perfect square?\"}", "arm": 4, "question": "Is the number a perfect square?", "hint": "No, the number is not a perfect square.", "candidates_before": 1...
6
0.117647
false
true
false
0
0
0
0.167647
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
7
35
false
10
9
4
Is the number divisible by 4?
divisibility
No, the number is not divisible by 4.
null
{"arm": 4, "question": "Is the number divisible by 4?"}
{"arm": 4, "question": "Is the number divisible by 4?"}
15
9
6
false
false
0.8
true
false
0
false
null
null
null
null
null
{"turn": 7, "secret": 35, "raw_response": "{\"arm\": 4, \"question\": \"Is the number divisible by 4?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number divisible by 4?\"}", "arm": 4, "question": "Is the number divisible by 4?", "hint": "No, the number is not divisible by 4.", "candidates_before": 15, "cand...
7
0.4
false
true
false
0
0
0
0.45
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
8
35
false
10
9
3
Is the number divisible by 4?
divisibility
No, the number is not divisible by 4.
null
{"arm": 3, "question": "Is the number divisible by 4?"}
{"arm": 3, "question": "Is the number divisible by 4?"}
9
9
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 8, "secret": 35, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 4?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 4?\"}", "arm": 3, "question": "Is the number divisible by 4?", "hint": "No, the number is not divisible by 4.", "candidates_before": 9, "candi...
8
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00007
7
9
35
false
10
9
3
Is the number divisible by 6?
divisibility
No, the number is not divisible by 6.
null
{"arm": 3, "question": "Is the number divisible by 6?"}
{"arm": 3, "question": "Is the number divisible by 6?"}
9
9
0
false
true
0
false
true
0
true
false
false
0
null
null
{"turn": 9, "secret": 35, "raw_response": "{\"arm\": 3, \"question\": \"Is the number divisible by 6?\"}", "completion": "{\"arm\": 3, \"question\": \"Is the number divisible by 6?\"}", "arm": 3, "question": "Is the number divisible by 6?", "hint": "No, the number is not divisible by 6.", "candidates_before": 9, "candi...
9
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
0
36
false
10
4
1
Is the number odd?
parity
No, the number is not odd.
null
{"arm": 1, "question": "Is the number odd?"}
{"arm": 1, "question": "Is the number odd?"}
100
50
50
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 36, "raw_response": "{\"arm\": 1, \"question\": \"Is the number odd?\"}", "completion": "{\"arm\": 1, \"question\": \"Is the number odd?\"}", "arm": 1, "question": "Is the number odd?", "hint": "No, the number is not odd.", "candidates_before": 100, "candidates_after": 50, "eliminated": 50, "norma...
0
0.5
false
true
false
0
0
0
0.55
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
1
36
false
10
4
3
Is this number divisible by 5?
divisibility
No, the number is not divisible by 5.
null
{"arm": 3, "question": "Is this number divisible by 5?"}
{"arm": 3, "question": "Is this number divisible by 5?"}
50
40
10
false
false
0.4
false
false
0
false
null
null
null
null
null
{"turn": 1, "secret": 36, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "arm": 3, "question": "Is this number divisible by 5?", "hint": "No, the number is not divisible by 5.", "candidates_before": 50, "c...
1
0.2
false
true
false
0
0
0
0.25
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
2
36
false
10
4
4
Is this number even?
parity
Yes, the number is even.
null
{"arm": 4, "question": "Is this number even?"}
{"arm": 4, "question": "Is this number even?"}
40
40
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 2, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number even?\"}", "arm": 4, "question": "Is this number even?", "hint": "Yes, the number is even.", "candidates_before": 40, "candidates_after": 40, "eliminated": 0, "nor...
2
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
3
36
false
10
4
4
Is this number divisible by 3?
divisibility
Yes, the number is divisible by 3.
null
{"arm": 4, "question": "Is this number divisible by 3?"}
{"arm": 4, "question": "Is this number divisible by 3?"}
40
13
27
false
false
1
true
false
0
true
true
true
1
null
null
{"turn": 3, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is this number divisible by 3?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number divisible by 3?\"}", "arm": 4, "question": "Is this number divisible by 3?", "hint": "Yes, the number is divisible by 3.", "candidates_before": 40, "cand...
3
0.675
false
true
false
0
0
0
0.725
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
4
36
false
10
4
3
Is this number a multiple of 7?
divisibility
No, it is not a multiple of 7.
null
{"arm": 3, "question": "Is this number a multiple of 7?"}
{"arm": 3, "question": "Is this number a multiple of 7?"}
13
11
2
false
false
0.307692
false
false
0
false
null
null
null
null
null
{"turn": 4, "secret": 36, "raw_response": "{\"arm\": 3, \"question\": \"Is this number a multiple of 7?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number a multiple of 7?\"}", "arm": 3, "question": "Is this number a multiple of 7?", "hint": "No, it is not a multiple of 7.", "candidates_before": 13, "candi...
4
0.153846
false
true
false
0
0
0
0.203846
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
5
36
false
10
4
4
Is this number divisible by 9?
divisibility
Yes, the number is divisible by 9.
null
{"arm": 4, "question": "Is this number divisible by 9?"}
{"arm": 4, "question": "Is this number divisible by 9?"}
11
4
7
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 5, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is this number divisible by 9?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number divisible by 9?\"}", "arm": 4, "question": "Is this number divisible by 9?", "hint": "Yes, the number is divisible by 9.", "candidates_before": 11, "cand...
5
0.636364
false
true
false
0
0
0
0.686364
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
6
36
false
10
4
4
Is this number divisible by 9?
divisibility
You already asked this. No new information.
null
{"arm": 4, "question": "Is this number divisible by 9?"}
{"arm": 4, "question": "Is this number divisible by 9?"}
4
4
0
true
false
0
false
true
0
false
null
null
null
null
null
{"turn": 6, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is this number divisible by 9?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number divisible by 9?\"}", "arm": 4, "question": "Is this number divisible by 9?", "hint": "You already asked this. No new information.", "candidates_before": ...
6
-0.1
false
false
false
0
0
0
-0.1
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
7
36
false
10
4
3
Is this number divisible by 3?
divisibility
Yes, the number is divisible by 3.
null
{"arm": 3, "question": "Is this number divisible by 3?"}
{"arm": 3, "question": "Is this number divisible by 3?"}
4
4
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 7, "secret": 36, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 3?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 3?\"}", "arm": 3, "question": "Is this number divisible by 3?", "hint": "Yes, the number is divisible by 3.", "candidates_before": 4, "candi...
7
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
8
36
false
10
4
4
Is this number divisible by 5?
divisibility
No, the number is not divisible by 5.
null
{"arm": 4, "question": "Is this number divisible by 5?"}
{"arm": 4, "question": "Is this number divisible by 5?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
true
true
{"turn": 8, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is this number divisible by 5?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number divisible by 5?\"}", "arm": 4, "question": "Is this number divisible by 5?", "hint": "No, the number is not divisible by 5.", "candidates_before": 4, "ca...
8
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00008
8
9
36
false
10
4
4
Is the number a multiple of 9?
divisibility
Yes, the number is a multiple of 9.
null
{"arm": 4, "question": "Is the number a multiple of 9?"}
{"arm": 4, "question": "Is the number a multiple of 9?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
null
null
{"turn": 9, "secret": 36, "raw_response": "{\"arm\": 4, \"question\": \"Is the number a multiple of 9?\"}", "completion": "{\"arm\": 4, \"question\": \"Is the number a multiple of 9?\"}", "arm": 4, "question": "Is the number a multiple of 9?", "hint": "Yes, the number is a multiple of 9.", "candidates_before": 4, "cand...
9
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
0
40
false
10
4
0
Is this number odd?
parity
No, the number is not odd.
null
{"arm": 0, "question": "Is this number odd?"}
{"arm": 0, "question": "Is this number odd?"}
100
50
50
false
false
1
true
false
0
false
null
null
null
null
null
{"turn": 0, "secret": 40, "raw_response": "{\"arm\": 0, \"question\": \"Is this number odd?\"}", "completion": "{\"arm\": 0, \"question\": \"Is this number odd?\"}", "arm": 0, "question": "Is this number odd?", "hint": "No, the number is not odd.", "candidates_before": 100, "candidates_after": 50, "eliminated": 50, "no...
0
0.5
true
true
false
0
0
0
0.6
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
1
40
false
10
4
4
Is this number even?
parity
Yes, the number is even.
null
{"arm": 4, "question": "Is this number even?"}
{"arm": 4, "question": "Is this number even?"}
50
50
0
false
true
0
false
false
0
false
null
null
null
false
false
{"turn": 1, "secret": 40, "raw_response": "{\"arm\": 4, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 4, \"question\": \"Is this number even?\"}", "arm": 4, "question": "Is this number even?", "hint": "Yes, the number is even.", "candidates_before": 50, "candidates_after": 50, "eliminated": 0, "nor...
1
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
2
40
false
10
4
3
Is this number divisible by 5?
divisibility
Yes, the number is divisible by 5.
null
{"arm": 3, "question": "Is this number divisible by 5?"}
{"arm": 3, "question": "Is this number divisible by 5?"}
50
10
40
false
false
1
true
false
0
true
true
true
1
null
null
{"turn": 2, "secret": 40, "raw_response": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number divisible by 5?\"}", "arm": 3, "question": "Is this number divisible by 5?", "hint": "Yes, the number is divisible by 5.", "candidates_before": 50, "cand...
2
0.8
false
true
false
0
0
0
0.85
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
3
40
false
10
4
2
Is this number prime?
primality
No, the number is not prime.
null
{"arm": 2, "question": "Is this number prime?"}
{"arm": 2, "question": "Is this number prime?"}
10
10
0
false
true
0
false
false
0
false
null
null
null
true
true
{"turn": 3, "secret": 40, "raw_response": "{\"arm\": 2, \"question\": \"Is this number prime?\"}", "completion": "{\"arm\": 2, \"question\": \"Is this number prime?\"}", "arm": 2, "question": "Is this number prime?", "hint": "No, the number is not prime.", "candidates_before": 10, "candidates_after": 10, "eliminated": ...
3
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
4
40
false
10
4
3
Is this number prime?
primality
No, the number is not prime.
null
{"arm": 3, "question": "Is this number prime?"}
{"arm": 3, "question": "Is this number prime?"}
10
10
0
false
true
0
false
false
0
true
false
false
0
false
false
{"turn": 4, "secret": 40, "raw_response": "{\"arm\": 3, \"question\": \"Is this number prime?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number prime?\"}", "arm": 3, "question": "Is this number prime?", "hint": "No, the number is not prime.", "candidates_before": 10, "candidates_after": 10, "eliminated": ...
4
0
false
false
false
0
0
0
0
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
5
40
false
10
4
2
Is this number greater than 50?
range
No, the number is not greater than 50.
null
{"arm": 2, "question": "Is this number greater than 50?"}
{"arm": 2, "question": "Is this number greater than 50?"}
10
5
5
false
false
1
true
true
0
true
true
true
1
null
null
{"turn": 5, "secret": 40, "raw_response": "{\"arm\": 2, \"question\": \"Is this number greater than 50?\"}", "completion": "{\"arm\": 2, \"question\": \"Is this number greater than 50?\"}", "arm": 2, "question": "Is this number greater than 50?", "hint": "No, the number is not greater than 50.", "candidates_before": 10...
5
0.5
false
true
false
0
0
0
0.55
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
6
40
false
10
4
0
Is this number greater than 60?
range
No, the number is not greater than 60.
null
{"arm": 0, "question": "Is this number greater than 60?"}
{"arm": 0, "question": "Is this number greater than 60?"}
5
5
0
false
true
0
false
true
0
false
null
null
null
false
false
{"turn": 6, "secret": 40, "raw_response": "{\"arm\": 0, \"question\": \"Is this number greater than 60?\"}", "completion": "{\"arm\": 0, \"question\": \"Is this number greater than 60?\"}", "arm": 0, "question": "Is this number greater than 60?", "hint": "No, the number is not greater than 60.", "candidates_before": 5,...
6
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
7
40
false
10
4
0
Is this number divisible by 3?
divisibility
No, this number is not divisible by 3.
null
{"arm": 0, "question": "Is this number divisible by 3?"}
{"arm": 0, "question": "Is this number divisible by 3?"}
5
4
1
false
false
0.4
false
true
0
true
true
false
0.4
null
null
{"turn": 7, "secret": 40, "raw_response": "{\"arm\": 0, \"question\": \"Is this number divisible by 3?\"}", "completion": "{\"arm\": 0, \"question\": \"Is this number divisible by 3?\"}", "arm": 0, "question": "Is this number divisible by 3?", "hint": "No, this number is not divisible by 3.", "candidates_before": 5, "c...
7
0.2
false
true
false
0
0
0
0.25
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
8
40
false
10
4
3
Is this number less than 60?
range
Yes, the number is less than 60.
null
{"arm": 3, "question": "Is this number less than 60?"}
{"arm": 3, "question": "Is this number less than 60?"}
4
4
0
false
true
0
false
true
0
false
null
null
null
true
true
{"turn": 8, "secret": 40, "raw_response": "{\"arm\": 3, \"question\": \"Is this number less than 60?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number less than 60?\"}", "arm": 3, "question": "Is this number less than 60?", "hint": "Yes, the number is less than 60.", "candidates_before": 4, "candidates_af...
8
0
false
true
false
0
0
0
0.05
base__qwen2.5-0.5b-instruct
Qwen2.5-0.5B
base
run1
1
base__qwen2.5-0.5b-instruct__run1__episode00009
9
9
40
false
10
4
3
Is this number even?
parity
Yes, the number is even.
null
{"arm": 3, "question": "Is this number even?"}
{"arm": 3, "question": "Is this number even?"}
4
4
0
false
true
0
false
true
0
true
false
false
0
null
null
{"turn": 9, "secret": 40, "raw_response": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "completion": "{\"arm\": 3, \"question\": \"Is this number even?\"}", "arm": 3, "question": "Is this number even?", "hint": "Yes, the number is even.", "candidates_before": 4, "candidates_after": 4, "eliminated": 0, "norma...
9
0
false
false
false
0
0
0
0